Two sets of quadratic expressions are shown below in various forms:Line 1: x2 − x − 6 (x + 2)(x − 3) (x + 0.5)2 − 6.25
Line 2: x2 − x − 2 (x + 1)(x − 2) (x − 0.5)2 − 2.25

Which line contains three equivalent expressions?

Answers

Answer 1

Answer: 1)
x²-x-6=(x+2)(x-3)
(x+0.5)²-6.25 =[x²+x+0.25]-6.25
=x²+x-6={x-3}{x+2}

2)
x²-x-2=(x+1)(x-2)
=(x-0.5)²-2.25={x²-x+0.25}-2.25
={x²-x-2}={x+1}{x-2}

Answer 2

Answer:

Only number 2 contains three equivalent expressions

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Which of the following points are on the line given by the equation y=2x?A.(16,8)
B.(1,3)
C.(4,6)
D.(3,6)
E.(4,2)
F.(5,10

Answers

The following points that are on the line given by the equation y=2x are Options (D). (3,6) and (F). (5,10).

What is a straight line ?

A straight line is a line passing through the x-y plane that has equal intercepts with respect to the x axis and the y-axis. The slope of a straight line is always equal. The straight line is also satisfied by the coordinates points in the x and y axis respectively.

How to identify the points on the given line y = 2x ?

To identify the points satisfied by any given equation, we have to replace the points given in the following equation.

Taking first point in option (A) , (16,8) , we have y = 8 and x = 16 which does not satisfy the equation y = 2x .

Taking second point in option (B) , (1,3) , we have y = 3 and x = 1 which does not satisfy the equation y = 2x .

Now from the following options, checking points in Option (D) where x = 3 and y = 6 which satisfies the equation y = 2x .

Also checking the points in Option (F) where x = 5 and y = 10 which satisfies the equation y = 2x .

The following points that are on the line given by the equation y=2x are Option(D). (3,6) and Option(F). (5,10) .

To learn more about points in a straight line, refer -

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Answer: it’s (5,10) and (3,6)

Find the area of the regular polygon. Give the answer to the nearest tenth.pentagon with a side of 6 m (1 point)
A. 123.9 m²
B. 12.4 m²
C. 61.9 m²
D. 49.5 m²

Answers

The area of the regular pentagon: $A=5* (s*a)/(2)$ where s=6m, and a=3*tg 54°= 3*1.37=4.13 m
Explanation: 54° is a half of the inner angle of the pentagon. The interior angles of a pentagon add up to 540°. Each angle is 108°.
Finally: A= $5* (6*4.13)/(2)$ =61.93 m².
Answer: C) 61.9 m²

Answer:

61.9

Step-by-step explanation:

center center is 72 degree for each triangle

the distance of center to the side h=3/tan 36=4.12,

area=5* (4.12*6)/2=61.94==61.9

Work the following pricing problems for services rendered. (For all calculations use hundredths.)Labor time = 4 1/2 hours
Overhead rate = 95%
Retail price of parts = $134.75
Total cost of job = $241.98

Hourly rate? $

Answers

Labor time = 4 1/2 hours = 4.5 hours
overhead rate = 95% - mostly dependent on labor
retail price of parts = 134.75
total cost of job = 241.98

241.98 - 134.75 = 107.23
107.25 / (4.5 x 1.95) = 107.25 / 8.78 = 12.22 hourly rate

labor : 12.22 x 4.5 =   54.99
overhead: 54.99 x 95% =   52.24
retail price of parts   = 134.75
total cost of job: 241.98

Answer:

$12.22

Step-by-step explanation:

1 + 2 x 3 - 4
Ayo, who else is bored?

Answers

Answer:

5 ,a lot

Step-by-step explanation:

1+2x3-4
2x3=6
1+6-4
6-4=2
1+2=3
Answer is 3

the minute hand of a clock is 6 inches long and moves from 3 o'clock to 5 o'clock. how far does the tip of the minute hand move? express your answer round to two decimal places

Answers

$from\ 3\ o'clock\ to\ 5\ o'clock\ is\ 2\ hours\n\n12\ hours\ \ \ \rightarrow\ \ \ 360^0\n2\ hours\ \ \ \ \rightarrow\ \ \ \ \alpha \n\n \alpha = (2\cdot360^0)/(12) =60^0\n\nx= (60^0)/(360^0) \cdot 2 \pi\cdot 6\ [in]= (1)/(6) \cdot12 \pi \ [in]=2 \pi \ [in]\approx2\cdot3.14\ [in]=6.28\ [in]$